2005•Annales de l’institut FourierOpen access

Local cohomology multiplicities in terms of étale cohomology

Manuel Blickle, Raphaël Bondu

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Abstract

Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with 𝐙 / p 𝐙 coefficients.

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What this paper is about

Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with 𝐙 / p 𝐙 coefficients.

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Available abstract

Using a recently introduced correspondence of Emerton-Kisin we give a description of Lyubeznik’s local cohomology invariants in terms of local étale cohomology with 𝐙 / p 𝐙 coefficients.

Key concepts: Local cohomology, Cohomology, Mathematics, Čech cohomology, Motivic cohomology, Equivariant cohomology, De Rham cohomology, Group cohomology

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